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Finding the Third Proportional to 174,925,252.69 and 404,963,025.19

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Solution

The third proportional to 174,925,252.69 and 404,963,025.19 is: 937,515,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,925,252.69 : 404,963,025.19 = 404,963,025.19 : x
  2. Step 2: Convert to fraction form
    174,925,252.69/404,963,025.19 = 404,963,025.19/x
  3. Step 3: Cross multiply
    174,925,252.69x = 404,963,025.19 × 404,963,025.19
  4. Step 4: Simplify right side
    174,925,252.69x = 163,995,051,769,011,744
  5. Step 5: Solve for x
    x = 163,995,051,769,011,744/174,925,252.69
  6. Step 6: Final answer
    x = 937,515,019.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.